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13143140334131 = 597930724373769
BaseRepresentation
bin1011111101000010000000…
…1101011111101000110011
31201112110202001021220121012
42333100200031133220303
53210314122411143011
643541513022421135
72524363161354653
oct277204015375063
951473661256535
1013143140334131
114207a7a0943a5
12158328b1317ab
13744515028092
143361ba74a363
1517bd3ae1ca8b
hexbf42035fa33

13143140334131 has 32 divisors (see below), whose sum is σ = 13588358784000. Its totient is φ = 12706683155712.

The previous prime is 13143140334089. The next prime is 13143140334179. The reversal of 13143140334131 is 13143304134131.

It is a cyclic number.

It is not a de Polignac number, because 13143140334131 - 210 = 13143140333107 is a prime.

It is a super-2 number, since 2×131431403341312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13143140334431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3487167215 + ... + 3487170983.

It is an arithmetic number, because the mean of its divisors is an integer number (424636212000).

Almost surely, 213143140334131 is an apocalyptic number.

13143140334131 is a deficient number, since it is larger than the sum of its proper divisors (445218449869).

13143140334131 is a wasteful number, since it uses less digits than its factorization.

13143140334131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6651.

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 13143140334131 its reverse (13143304134131), we get a palindrome (26286444468262).

The spelling of 13143140334131 in words is "thirteen trillion, one hundred forty-three billion, one hundred forty million, three hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 59 79 307 2437 3769 4661 18113 24253 143783 192523 222371 297751 748159 1157083 1430927 9185053 11358857 17567309 44141381 59104561 68267897 91409557 541918127 725619187 2819811271 3487169099 5393163863 42811532033 166368864989 222765090409 13143140334131